Abstract

In this paper, a class of two-dimensional with discontinuous coefficients elliptic boundary value problems in unstructured quadrilateral mesh , respectively, discussed two quadratic Lagrangian finite element ( 8-node node and $ 9 million ) algebraic equations multigrid method, By using bilinear element and the second element basis functions represent relationships between algebra , and after careful analysis , we give a new upscaling algorithm and construct ways to enhance the operator algebra . Further, we theoretically proved that the new AMG method is convergent in nature. Numerical experiments show that : the new AMG method is more efficient in operation and stability are superior to conventional AMG method .